Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200dp |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.3516360733108E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1401408,-176884466688] |
[a1,a2,a3,a4,a6] |
Generators |
[406119:48335750:27] |
Generators of the group modulo torsion |
j |
-4755955967570809/211193136454809600 |
j-invariant |
L |
4.9697837504282 |
L(r)(E,1)/r! |
Ω |
0.032267548010538 |
Real period |
R |
9.626126006821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650ck2 21840bt2 |
Quadratic twists by: -4 5 |